Analysis of Magnetic Force Linearity in Magnetic Levitation Systems

Abstract

The important parameters of bar magnet configurations, in which the same poles are facing each other, are investigated with a focus on their potential applications in magnetic levitation. The scalar product of the magnetic field and its gradient between magnets is referred to as fz, which is a function for force calculations. The magnitude and linear range of this function are then examined. These parameters are computed for several air gap lengths between the magnets, as well as the height and thickness of the magnets, while keeping the magnet length constant. The calculations are experimentally validated by measuring the magnetic field of a magnet system. The choice of thickness and height of the magnets was found to have critical effects on both linearity and the maximum value of fz within the linear range. The results of this study can be used to guide the selection of magnet dimensions and also to evaluate the factors that can influence the measurements and sensitivity of magnetic levitation systems.